On the Uniqueness and the Existence of Solution In Elastostatics for Inhomogeneous Materials

Abstract

In the previous paper, an extension of the classical main results in the theory of elastic potential to the case of inhomogeneous materials and a reduction of the fundamental boundary value problems in elastostatics to Fredholm's system of singular integral equations were attembted. In the present paper, with intent to establish the theoretical foundations of the previous results, we constructed the uniqueness and the existence theorems of solutions.